Calculate the volume of a sphere with a radius of 4.4 cm , both in terms of \( \pi \) and as a decimal. Use 3.14 for \( \pi \). Round your answers to the nearest tenth. \( 113.6 \pi \mathrm{~cm}^{3} \approx 356.6 \mathrm{~cm}^{3} \) \( 63.9 \pi \mathrm{~cm}^{3} \approx 200.6 \mathrm{~cm}^{3} \) \( 28.4 \mathrm{~m} \mathrm{~cm}^{3} \approx 89.2 \mathrm{~cm}^{3} \) \( 77.4 \pi \mathrm{~cm}^{3} \approx 243.2 \mathrm{~cm}^{3} \)

To calculate the volume of a sphere, we can use the formula: \[ V = \frac{4}{3} \pi r^3 \] Substituting the radius \( r = 4.4 \) cm, we have: \[ V = \frac{4}{3} \pi (4.4)^3 = \frac{4}{3} \pi (85.184) \approx 113.6 \pi \mathrm{~cm}^{3} \] Now, using \( \pi \approx 3.14 \): \[ V \approx 113.6 \times 3.14 \approx 356.6 \mathrm{~cm}^{3} \] The correct answer is \( 113.6 \pi \mathrm{~cm}^{3} \approx 356.6 \mathrm{~cm}^{3} \). Did you know that the mathematical constant \( \pi \) represents not just the relationship between a circle's circumference and diameter, but also pops up in various fields? From physics to engineering, \( \pi \) is crucial in wave equations, circular motion, and even in the analysis of rhythms in music! Feeling curious about more geometrical concepts? Exploring the volumes of other shapes, such as cylinders or cones, can be exciting. The formulas are different, but the principles remain the same! You can find tons of engaging resources online or dive into books about geometry to learn how these shapes relate to the world around us. Happy calculating!